I research the Irish Family History Foundation's database. It contains 12,000,000 surviving rcds for abt 65% of Irish counties. Rcds are increasingly sparse B4 1840, rare B4 1800.
Note 1 - Without a KNOWN parish, the chance of an ancestor's rcds NOT being in this database is AT LEAST 35%.
Note 2 - Only 1/2 of Co. Cork's rcds are in this database.
Note 3 - The RC church kept control over most parish rcds from Tipperary (north). These are ONLY available thru the Tipperary Family History Research center at a substantial fee (regardless of outcome).
For Ann(a) Fogarty M 1827 somewhere in Ireland, I found 1 rcd in Co. Limerick, Pallasgreen & Templebredan parish.
For Martin Maher M ditto, I found NO matching rcd.
For Martin Maher B 1811 (exact) somewhere in Ireland with the father's forename unknown, I found 1 rcd in Co. Galway. This MAY be for your ancestor. At this early date, most rcds didn't survive. The surname Maher is synonymous with Conner/Connor.
Google the Foundation's name to lead you to this database. Register, opt to be notified as rcds are added and browse. Pls post your search results to my genforum msg.